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Beliebt Rechnen >

y^{''}-12y^'+36y=0,y(1/6)=2,y(0)=3

Lösung

y^{^{''}} - 12 y^{^{'}} + 36 y = 0, y (\frac{1}{6}) = 2, y (0) = 3

Lösung

y = 3 e^{6 t} - (18 e - 12) e^{6 t - 1} t

Schritte zur Lösung

y^{''} (t) - 12 y^{'} (t) + 36 y = 0

Solve linear ODE:

y = 3 e^{6 t} - (18 e - 12) e^{6 t - 1} t

y = 3 e^{6 t} - (18 e - 12) e^{6 t - 1} t

Graph

Beliebte Beispiele

16x^{''}+40x^'+169x=0

16 x^{^{''}} + 40 x^{^{'}} + 169 x = 0

y^{''}+5y^'+16y=0

y^{^{''}} + 5 y^{^{'}} + 16 y = 0

y^{''}+y^'+y=0,y(0)=1,y(0)=0

y^{^{''}} + y^{^{'}} + y = 0, y (0) = 1, y (0) = 0

y^{'''}+y^{''}-22y^'-40y=0

y^{^{'''}} + y^{^{''}} - 22 y^{^{'}} - 40 y = 0

y^{''}+11y^'+10y=0

y^{^{''}} + 11 y^{^{'}} + 10 y = 0